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Finding the Fourth Proportional to 6,477.16, 9,715.08 and 2,778.70

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Solution

The fourth proportional to 6,477.16, 9,715.08 and 2,778.70 is: 4,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.16 : 9,715.08 = 2,778.70 : x
  2. Step 2: Convert to fraction form
    6,477.16/9,715.08 = 2,778.70/x
  3. Step 3: Cross multiply
    6,477.16x = 9,715.08 × 2,778.70
  4. Step 4: Simplify right side
    6,477.16x = 26,995,292.80
  5. Step 5: Solve for x
    x = 26,995,292.80/6,477.16
  6. Step 6: Final answer
    x = 4,167.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.